Date Thesis Awarded
5-2011
Access Type
Honors Thesis -- Access Restricted On-Campus Only
Degree Name
Bachelors of Science (BS)
Department
Mathematics
Advisor
Sarah Day
Committee Members
Lawrence M. Leemis
Junping Shi
Matthias Leu
Abstract
The interaction between invasive and native species can be modeled through a Lefkovitch model using stage structured populations. In this study, we analyze population dynamics of a stage structured population, computing a basin of attraction around the non-trivial attracting equilibrium.This model can be naturally extended to include two or more species in which inter- and intra-specific competition is expressed through a density dependent fertility term. Preliminary results for the two species model will be discussed.
Recommended Citation
Pfeiffer, Georgia Waite, "Basins of Attraction in Stage Structured Populations" (2011). Undergraduate Honors Theses. William & Mary. Paper 395.
https://scholarworks.wm.edu/honorstheses/395
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.
Comments
Thesis is part of Honors ETD pilot project, 2008-2013. Migrated from Dspace in 2016.